SOLUTION: What is the probability of: A. drawing a card that is an ace/a ten/or a red B. drawing a Jack/face card C. rolling 4 dice and having at least one of them show a 5

Question 1171006: What is the probability of:
A. drawing a card that is an ace/a ten/or a red
B. drawing a Jack/face card
C. rolling 4 dice and having at least one of them show a 5

Answer by 125004450Sk(1) (Show Source): You can put this solution on YOUR website!
A. drawing a card that is an ace or a ten or red.
To solve this you must know that there are 52 cards in a standard deck(not including the jokers) and there are 3 face cards in each suit, and there are 13 cards of each suit. The probability of drawing an ace is 4/52 for there are 4 aces in an entire deck of cards. There are 4 tens in each deck of cards so that would equal 4/52. In a deck of cards, there are 26 red cards and 26 black cards. So the probability of drawing a red card is 26/52. Once we figured out the probability of drawing an ace or a ten or red, we combine the answers together.
Simplify 34/52
34/52=17/26
Answer: You have a 17/26 chance of drawing an ace/ten/ or red card.
B. drawing a Jack/face card
As I said before there are 3 face cards in each suit(a jack is among them), so knowing that there are 3 face cards in each suit and we know that there are 4 different suits, we would multiply 4 by 3 and we would get 12 for the number of face cards we have in a deck of cards. Now we have the number of face cards in a deck of cards, so, therefore, we have the answer 12/52. Simplify and we have 3/13 as the final answer for part B.
Answer: You have a chance of drawing a face card.
C. rolling 4 dice and having at least one of them show a 5
Instead of having 2 as the normal amount of dice, we have 2 pairs of dice(meaning 4 individual die). For the pair of dice, the possibilities would be 36 but since we are dealing with 2 pairs of dice there are a lot more possibilities. Each die has a possibility of 6, when you multiply with 6(due to adding a die) you get 36 so you can have 36 possible outcomes. Multiply that by 6 two more times you get 1296(). Now since the desired outcome is 5 and we can get 5 out of the 4 die we have so that would give us 4/1296. Simplify and we get 1/324
Answer: You have a chance of rolling a 5.
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